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84047674048 = 26131947113123
BaseRepresentation
bin100111001000110100…
…0011011101011000000
322000221102112012221121
41032101220123223000
52334112201032143
6102335545202024
76033531304402
oct1162150335300
9260842465847
1084047674048
113270a7a2548
1214357490314
137c058a9010
1440d457cb72
1522bda0e7ed
hex1391a1bac0

84047674048 has 112 divisors (see below), whose sum is σ = 193089093120. Its totient is φ = 35967366144.

The previous prime is 84047674037. The next prime is 84047674097.

It is a happy number.

84047674048 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 84047673986 and 84047674004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686415 + ... + 799537.

It is an arithmetic number, because the mean of its divisors is an integer number (1724009760).

Almost surely, 284047674048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84047674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96544546560).

84047674048 is an abundant number, since it is smaller than the sum of its proper divisors (109041419072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84047674048 is a wasteful number, since it uses less digits than its factorization.

84047674048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113214 (or 113204 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 52.

The spelling of 84047674048 in words is "eighty-four billion, forty-seven million, six hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 47 52 64 76 94 104 152 188 208 247 304 376 416 494 608 611 752 832 893 988 1216 1222 1504 1786 1976 2444 3008 3572 3952 4888 7144 7904 9776 11609 14288 15808 19552 23218 28576 39104 46436 57152 92872 113123 185744 226246 371488 452492 742976 904984 1470599 1809968 2149337 2941198 3619936 4298674 5316781 5882396 7239872 8597348 10633562 11764792 17194696 21267124 23529584 27941381 34389392 42534248 47059168 55882762 68778784 69118153 85068496 94118336 101018839 111765524 137557568 138236306 170136992 202037678 223531048 276472612 340273984 404075356 447062096 552945224 808150712 894124192 1105890448 1313244907 1616301424 1788248384 2211780896 2626489814 3232602848 4423561792 5252979628 6465205696 10505959256 21011918512 42023837024 84047674048